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Finding the Fourth Proportional to 1,207.99, 1,811.17 and 774.91

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Solution

The fourth proportional to 1,207.99, 1,811.17 and 774.91 is: 1,161.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.99 : 1,811.17 = 774.91 : x
  2. Step 2: Convert to fraction form
    1,207.99/1,811.17 = 774.91/x
  3. Step 3: Cross multiply
    1,207.99x = 1,811.17 × 774.91
  4. Step 4: Simplify right side
    1,207.99x = 1,403,493.74
  5. Step 5: Solve for x
    x = 1,403,493.74/1,207.99
  6. Step 6: Final answer
    x = 1,161.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.